Quelques notions sur l'équirépartition dans les groupes abéliens compacts et localement compacts

Marthe Grandet-Hugot

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1976-1977)

  • Volume: 18, Issue: 2, page G1-G8

How to cite

top

Grandet-Hugot, Marthe. "Quelques notions sur l'équirépartition dans les groupes abéliens compacts et localement compacts." Séminaire Delange-Pisot-Poitou. Théorie des nombres 18.2 (1976-1977): G1-G8. <http://eudml.org/doc/110972>.

@article{Grandet1976-1977,
author = {Grandet-Hugot, Marthe},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {Bibliography},
language = {fre},
number = {2},
pages = {G1-G8},
publisher = {Secrétariat mathématique},
title = {Quelques notions sur l'équirépartition dans les groupes abéliens compacts et localement compacts},
url = {http://eudml.org/doc/110972},
volume = {18},
year = {1976-1977},
}

TY - JOUR
AU - Grandet-Hugot, Marthe
TI - Quelques notions sur l'équirépartition dans les groupes abéliens compacts et localement compacts
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1976-1977
PB - Secrétariat mathématique
VL - 18
IS - 2
SP - G1
EP - G8
LA - fre
KW - Bibliography
UR - http://eudml.org/doc/110972
ER -

References

top
  1. [1] Beer ( S.). - Zur Theorie der Gleichverteilung im p-adischen, Sitz. Österr. Akad. Wiss., t. 176, 1968, p. 499-520. Zbl0172.06602MR237441
  2. [2] Berg ( I.D.), Rajagopalan ( M.) and Rubel ( L.A.). - Uniform distribution in locally compact abelian groups, Trans. Amer. math. Soc., t. 133, 1968, p. 435-446. Zbl0165.34401MR227695
  3. [3] Bertrandias ( F.). - Ensembles remarquables d'adèles algébriques, Bull. Soc. math. France, mémoire 4, 1965, 104 p. Zbl0178.38201MR191887
  4. [4] Cavior ( S.R.). - Uniform distribution of polynomials modulo m, Amer. math. Monthly, t. 73, 1966, p. 171-172. Zbl0144.04103MR1533637
  5. [5] Chabauty ( C. ). - Sur la répartition modulo 1 de certaines suites p-adiques, C. R. Acad. Sc. Paris, t. 203, 1950, p. 465-466. Zbl0038.02901MR38380
  6. [6] Chauvineau ( J.). - Sur la répartition dans R et dans Qp, Acta Arithm., Warszawa, t. 14, 1968, p. 225-314. Zbl0176.32902MR245529
  7. [7] Cigler ( J. ) . - Folgen normierter Masse auf kompakten Gruppen, J. Wahrscheinlichkeitstheorie, t. 1, 1962, p. 3-13. Zbl0109.10702MR149526
  8. [8] Cigler ( J.). - The fundamental theorem of Van der Corput and its generalizations, Comp. Math., Groningen, t. 16, 1965, p. 29-34. Zbl0147.37102MR168959
  9. [9] Cigler ( J.) und Helmberg ( G.). - Neuere Entwicklungen in der Theorie der Gleichverteilung, Jahr Deutscher Math. Vereinig., t. 64, 1962, p. 1-50. Zbl0109.03404MR125102
  10. [10] Dijksma ( A.). - Uniform distribution of polynomials over GF{q , x} in GF[q , x] , Part I, Nederl. Akad. Wet., Proc., Ser. A, t. 72, 1969, p. 376- 383 ; ou Indag. Math., t. 31, 1969, p. 376-383. Zbl0183.31402MR249405
  11. [11] Dijksma ( A.). - The measure theoretic approach to uniform distribution of sequences in GF[q , x] , Mathematica, Cluj, t, 11, 1969, p. 221-240. Zbl0211.07904MR265319
  12. [12] Dijksma ( A.). - Uniform distribution of polynomials over GF{q , x} in GF[q , x] , Part II, Nederl. Akad. Wet., Proc., Ser. A, t. 73, 1970, p. 187- 195 ; ou Indag. Math., t. 32, 1970, p. 187-195. Zbl0199.37201MR263746
  13. [13] Dijksma ( A. ). - Metrical theorems concerning uniform distribution in GF{q , x} and GF[q , x] , Nieuw Arch. Wisk., Ser. 3, t. 18, 1970, p. 279-293. Zbl0206.34501MR285495
  14. [14] Dijksma ( A.). - Uniform distribution in GF[q , x] and GF{q, x} , Doct. Dissertation, Techn. Univ. Delft, 1971. Zbl0213.07201MR285493
  15. [15] Dijksma ( A.) and Meijer ( H.G.). - Note on uniformly distributed sequences of integers, Nieuw Arch. Wisk., Ser. 3, t. 17, 1969, p. 210-213. Zbl0186.08701MR257021
  16. [16] Eckmann ( B. ). - Über monothetische Gruppen, Comment Math. Helvet., t. 16, 1943/44, p. 249-263. Zbl0061.04402MR11302
  17. [17] Grandet-Hugot ( M.). - Quelques résultats concernant l'équirépartition dans l'anneau des adèles d'un corps de nombres algébriques, Bull. Sc. math., t. 99, 1975, p. 91-111 et 243- 247. Zbl0313.12008
  18. [18] Grandet-Hugot ( M.). - Etude de différents types d'équirépartition dans un anneau d'adèles, Bull. Sc. math., t. 100, 1976, p. 3-16. Zbl0326.43010MR447160
  19. [19] Halmos ( P.R.) and Samelson ( H.). - On monothetic groups, Proc. Nat. Acad. Sc. U. S. A., t. 28, 1942, p. 254-258. Zbl0063.01893MR6543
  20. [20] Hartman ( S. ). - Remarks on equidistribution on non compact groups, Comp. Math., Groningen, t. 16, 1965, p. 66-71. Zbl0142.26603MR169941
  21. [21] Helmberg ( G. ). - A theorem on equidistribution in compact groups, Pacific J. of Math., t. 8, 1958, p. 227-241. Zbl0083.25502MR103239
  22. [22] Helmberg ( G.). - Eine Familie von Gleichverteilungskriterien in kompakten Gruppen, Monatsh. für Math., t. 66, 1962, p. 417-423. Zbl0106.24905MR151545
  23. [23] Helmberg ( G.). - Abstract theory of uniform distribution, Comp. Math., Groningen, t. 16, 1964, p. 72-82. Zbl0144.04102MR188189
  24. [24] Hlawka ( E.). - Zur formalen Theorie der Gleichverteilung in kompakten Gruppen, Rend. Circ. Matem. Palermo, Ser. II, t. 4, 1955, p. 33-47. Zbl0065.26402MR74489
  25. [25] Hodges ( J.H.). - Uniform distribution of sequences in GF[q, x] , Acta Arithm., Warszawa, t. 12, 1966, p. 55-74. Zbl0146.06304MR210680
  26. [26] Hodges ( J.H. ). - Uniform distribution of polynomial-generated sequences in GF[q , x] , Ann. Mat. pura ed appl., Ser. 4, t. 82, 1969, p. 134-142. Zbl0192.39902MR252358
  27. [27] Hodges ( J.H.). - On uniform distribution of sequences in GF{q , x} and GF[q , x] , Ann. Mat. pura ed appl., Ser. 4, t. 85, 1970, p. 287-294. Zbl0207.36102MR262180
  28. [28] Kemperman ( J.H.B. ) . - On the uniform distribution in a compact group, Comp. Math., Groningen, t. 16, 1964, p. 138-157. Zbl0131.27004MR173282
  29. [29] Kuipers ( L. ). - A remark on asymptotic distribution in GF[pr , x] , Rev. roumaine Math. pures et appl., t. 18, 1973, p. 1217-1221. Zbl0269.12009MR357356
  30. [30] Kuipers ( L.) and Niederreiter ( H.). - Uniform distribution of sequences. - New York, J. Wiley, 1974 (Pure and applied Mathematics, Wiley-Interscience). Zbl0281.10001MR419394
  31. [31] Kuipers ( L. ) and Niederreiter ( H.). - Asymptotic distribution mod m and independance of séquences of integers, Proc. Japan Acad., t. 50, 1974, p. 256-259 et 261-265. Zbl0301.10031MR364149
  32. [32] Kuipers ( L. ), Niederreiter ( H.) and Shiue ( J.S.). - Uniform distribution in the ring of gaussian integers, Bull. Inst. math. Acad. Sinica, t. 3, 1975, p. 311-325. Zbl0315.10031MR414511
  33. [33] Kuipers ( L.) and Uchiyama ( S.). - Notes on the uniform distribution of sequences of integers, Proc. Japan Acad., t. 44, 1968, p. 608-613. Zbl0169.37901MR238784
  34. [34] Mathan ( B. de ) . - Approximations diophantiennes dans un corps local, Bull. Soc. math. France, Mémoire 21, 1970, 93 p. Zbl0221.10037MR274396
  35. [35] Heijer ( H.G.). - Uniform distribution of g-adic integers, Nederl. Akad. Wet., Proc., Ser. A, t. 70, 1967, p. 535-546 ; ou Indag. Math., t. 29, 1967, p. 535-546. Zbl0173.04802MR220682
  36. [36] Meijer ( H.G. ). - Uniform distribution of g-adic integers, Doct. Dissertation, Univ. Amsterdam, 1967. Zbl0207.05802MR220682
  37. [37] Meijer ( H.G. ). - On uniform distribution of integers and uniform distribution modulo 1, Nieuw Arch. Wisk., t. 18, 1970, p. 271-278. Zbl0207.36101MR285494
  38. [38] Meijer ( H.G.) and Sattler ( R.). - On uniform distribution of integers and uniform distribution modulo 1, Nieuw Arch. Wisk., t. 20, 1972, p. 146-151. Zbl0238.10034MR311589
  39. [39] Meijer ( H.G.) and Shiue ( J.). - Uniform distribution in Zg and Zg1 .. × Zgi, Nederl. Akad. Wet., Proc., Ser. A, t. 79, 1976, p. 200-212. Zbl0329.10026MR422177
  40. [40] Niederreiter ( H.) and Lo ( S.K.). - Uniform distribution of sequences of algebraic integers, Math. J. Okayama Univ., t. 18, 1975, p. 13-29. Zbl0328.12001MR396475
  41. [41] Niven ( I.). - Uniform distribution of sequences of integers, Trans. Amer. math. Soc., t. 9, 1961, p. 52-61. Zbl0096.03102MR120214
  42. [42] Niven ( I.). - Uniform distribution of sequences of integers, Comp. Math., Groningen, t. 16, 1964, p. 158-160. Zbl0142.29603MR173665
  43. [43] Rajagopalan ( M.). - Structure of monogenic groups, Illinois J. Math., t. 12, 1968, p. 205-214. Zbl0241.22013MR229748
  44. [44] Rajagopalan ( M.) and Rotman ( J.J.). - Monogenic groups, Comp. Math., Groningen, t. 18, 1967, p. 155-161. Zbl0241.22012MR220831
  45. [45] Rubel ( L.A. ). - Uniform distribution in locally compact groups, Comment. Math. Eelvet., t. 39, 1965, p. 252-258. Zbl0152.03703MR179289
  46. [46] Rudin ( W.). - Fourier analysis on groups. - New York, Interscience Publishers, 1962 (Interscience Tracts in pure and applied Mathematics, 12). Zbl0107.09603MR152834
  47. [47] Shiue ( J.S. ). - A theorem on uniform distribution of sequences of g-adic integers and a notion of independance, Atti. Accad. Naz. Lincei, Rend., Cl. Sc. Fig. Mat., Ser. 8, t. 50, 1971, p. 90-93. Zbl0224.10035MR304324
  48. [48] Sigmund ( K. ) . - Über Verteilungsmasse von Massfolgen auf kompakten Gruppen, Comp. Math., Groningen, t. 21, 1969, p. 299-311. Zbl0194.48804MR256431
  49. [49] Uchiyama ( S.). - On the uniform distribution of sequences of integers, Proc. Japan. Acad., t. 37, 1962, p. 605-609. Zbl0131.29203MR137695
  50. [50] Uchiyama ( S.). - A note on the uniform distribution of sequences of integers, J. Fac. Sc. Shinshu Univ., t. 3, 1968, p. 163-169. Zbl0324.10045MR246846
  51. [51] Uchiyama ( M.) and Uchiyama ( S.). - A characterization of uniformly distributed sequences of integers, J. Fac. Sc. Hokkaido Univ., Ser. I, t. 16, 1962, p. 238-248. Zbl0113.03802MR151448

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.